820023000 has 128 divisors (see below), whose sum is σ = 2600994240. Its totient is φ = 215040000.

The previous prime is 820022989. The next prime is 820023037. The reversal of 820023000 is 320028.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180760 + ... + 185240.

Almost surely, 2^820023000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300497120).

820023000 is an abundant number, since it is smaller than the sum of its proper divisors (1780971240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820023000 is a wasteful number, since it uses less digits than its factorization.

820023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 820023000 is about 28636.0437211567. The cubic root of 820023000 is about 935.9989133598.

Adding to 820023000 its reverse (320028), we get a palindrome (820343028).

The spelling of 820023000 in words is "eight hundred twenty million, twenty-three thousand".